Nonuniform behavior and stability of Hopfield neural networks with delay
Dynamical Systems
2015-04-17 v1
Abstract
We obtain a result on the behavior of the solutions of a general nonautonomous Hopfield neural network model with delay, assuming some general bound for the product of consecutive terms in the sequence of neuron charging times and some conditions to control the nonlinear part of the equations. We then apply this result to improve some existent results on the stability of Hopfield models. Our results are based on a new abstract result on the behavior of nonautonomous delayed equations.
Keywords
Cite
@article{arxiv.1504.04318,
title = {Nonuniform behavior and stability of Hopfield neural networks with delay},
author = {António J. G. Bento and José J. Oliveira and César M. Silva},
journal= {arXiv preprint arXiv:1504.04318},
year = {2015}
}